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{\Huge Network Formation}
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% Authors (fold)
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\emph{Authors:}\\
Michael Brooks\\
Kateryna Kuksenok\\
Eric Naeseth\\
Charles Noneman
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% Supervisors (fold)
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\emph{Supervisors:}\\
Joshua Davis\\
David Liben-Nowell\\
Alexa Sharp\\
Tom Wexler
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% (end)
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\begin{abstract}
We define and implement a game that attempts to mimic the formation of realistic social networks. The model is based on three principles: (1) connections between people create value, (2) value is distributed among the people involved in the connection, and (3) relationships have an associated cost.  We analyze the behavior of this game on fixed-cost groups and simple hierarchical social structures to find that our model mostly fulfills the desired goals of middleman encouragement, connectivity, and the formation of cliques with sparse connections between them.
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